Question

g A wave pulse on a light string encounters a boundary with a heavy string. In other words, the pulse moves from a medium with a lower density to a medium with a higher density. Compared to the speed in the first medium (the light string), the speed of the transmitted pulse (in the heavier string) will be

Answer 1

Answer:

The answer to the question is

Changing travel medium from one of low density to another of higher density (heavier weight) reduces the speed of the transmitted pulse

Explanation:

The rate of propagation of a wave in a medium is correlated to the properties of the medium. in  a guitar, sound is produced by vibrating the string. The frequency of the produced sound depends on the speed and wavelength of the wave as follows

v = f × λ

The guitar strings, though having equal length, the produce sounds of different frequencies and they also have different linear mass density.

As highlighted, the speed of sound is a function function of the frequency and the frequency produced in a string is related to the linear density

The relation between speed with linear density of a material, or its mass per unit length is

v absolute  = $\sqrt{\frac{F_{T} }{\mu} }$ where

v absolute = The absolute velocity

$F_{T}$ = The horizontal tension on the string

$\mu$ = Mass per unit length of the string = $\frac{m}{l}$ where

m = Mass of the string and

l = Length  of the measured mass of string

There fore the wave propagates more slowly, or slows down when it changes its travel medium from one of lower linear mass density to a different medium having a higher density

The speed of the transmitted pulse reduces in the heavier string